Pair of Linear Equations in Two Variables (IMO- Mathematics Olympiad Class 10): Questions 49 - 53 of 82

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Question number: 49

» Pair of Linear Equations in Two Variables

MCQ▾

Question

Solve for x and y in the following question:

2x+2y+12xy+59=0,9x+2y+62xy+4=0

Choices

Choice (4) Response
a.

x=2,y=12

b.

x=12,y=2

c.

x=2,y=1

d.

x=1,y=2

Question number: 50

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The sum of a two digit number and the number obtained by interchanging the digits of the number is 121. If the digits of the number differ by 5, then numbers are ________

Choices

Choice (4) Response
a.

37, 73

b.

38, 83

c.

62, 26

d.

42, 24

Question number: 51

» Pair of Linear Equations in Two Variables

MCQ▾

Question

At the end of the year 2002, Rahul was half old as his grandpa. The sum of the years in which they were born is 3824. Age of Rahul at the end of year 2003 is ________

Choices

Choice (4) Response
a.

36 years

b.

50 years

c.

61 years

d.

35 years

Question number: 52

» Pair of Linear Equations in Two Variables

MCQ▾

Question

For how many values of k does the following system of equations have at least one solution? x+y=1;kx+y=3;x+ky=5

Choices

Choice (4) Response
a.

2

b.

0

c.

1

d.

Infinitely many

Question number: 53

» Pair of Linear Equations in Two Variables

MCQ▾

Question

Places A1 and A2 are 400 km apart from each other on a national highway. A car starts from A1 and another from A2 at the same time. If they go in the same direction then they meet in 10 hours and if they go in opposite directions they meet in 2011 hours. The speeds of the cars are ________

Choices

Choice (4) Response
a.

120kmhr,30kmhr

b.

130kmhr,90kmhr

c.

190kmhr,60kmhr

d.

150kmhr,120kmhr

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